Question

Write a proof.
Given: AB x BE = CB x BD

Answer 1

Prove \[\Delta ABC \approx \Delta DBE\]

Answer 2

There aren't any angle measurements shown on the image, but the evidence is AB x BE = CB x BD. Line segments AB and BE are corresponding line segments. They are similar because they have the same measurement. As well as line segments CB and BD. Corresponding sides also are all in the same proportion. It has 2 matching pairs of sides and one matching pair of angles, SAS.